On the vacua in the massless Thirring model

2003/06/24 by M. Faber, Faber, M., A. N. Ivanov +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Opinion Dynamics and Social Influence #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0306229

19 pages, 4 figures, Latex

openalex publication_date 2003/06/24 · arxiv created 2003/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the most general effective potential for the massless Thirring model in dependence of the local fields of all fermion-antifermion collective excitations. We analyse the minima of this potential describing different vacua of the quantum system. We confirm the existence of the absolute minimum found in EPJC 20, 723 (2001) corresponding to the chirally broken phase of the massless Thirring model. As has been shown in EPJC 20, 723 (2001) this minimum is stable under quantum fluctuations.

Citations

• On the ground state of a free massless (pseudo)scalar field in two dimensions
• Massless Thirring fermion fields in the boson field representation

Cited by

• On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time

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